Berry-Esséen rate in asymptotic normality for perturbed sample quantiles

DOI10.1007/BF01895308zbMath0816.62017MaRDI QIDQ1337188

Munsup Seoh, Madan Lal Puri

Publication date: 2 July 1995

Published in: Metrika (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/176501

zbMATH Keywords

rate of convergenceasymptotic normalityoptimal Berry-Esséen rateperturbed sample distribution functionsperturbed sample quantileswindow-width

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20)

Cites Work

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• Asymptotic normality of the kernel quantile estimator
• Asymptotic expansions for general statistical models. With the assist. of W. Wefelmeyer
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• Approximate distributions of order statistics. With applications to nonparametric statistics
• A remainder estimate for the normal approximation of perturbed sample quantiles
• On the accuracy of the normal approximation for quantiles
• Necessary and sufficient conditions for the asymptotic normality of perturbed sample quantiles
• Approximation Theorems of Mathematical Statistics
• Some New Estimates for Distribution Functions

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